Theoretical analysis of the DNA dynamics, reveals that interaction between
the single solitons and plane wave implies Smale-horseshoe chaos in the dou
ble helices. Solutions of the chaotic solitons are derived from a direct pe
rturbation technique. It is demonstrated that to produce the bounded chaoti
c solitons, velocities of the solitons must be the same and equal to propag
ation velocity of the plane wave in DNA. The result shows that the DNA stru
cture may be destroyed by the long action of an electromagnetic wave. It al
so supplies a useful method for controlling the velocities and unboundednes
s of the DNA motion in a tumour cell by using a plane wave.